Hyperbola Problem: Consider the hyperbola x2 y2 = 36 (Figure 4-8e). Figure 4-8e a. Show

Chapter 4, Problem 26

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Hyperbola Problem: Consider the hyperbola x2 y2 = 36 (Figure 4-8e). Figure 4-8e a. Show that the point (10, 8) is on the graph. b. Evaluate dy/dx at the point (10, 8). Explain why your answer is reasonable. c. Show that the parametric equations x = 6 sec t y = 6 tan t give the same value for dy/dx at x = 10.

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